Answer:
k = 32.7 N/m
Step-by-step explanation:
Hooke's Law:
F=−kx
Where:
F is the force applied to the spring (N).
k is the spring constant (N/m).
x is the displacement of the spring from its equilibrium position (m).
x = 6 cm = 0.06
mass = m = 200 g = 0.2 kg
The force applied to the spring is equal to the weight of the mass,
F=m⋅g
g is the acceleration due to gravity = 9.81 m/s²
F = mg = (0.2kg)(9.81m/s²) = 1.962 N
F=−kx
-k = F/x = (1.962 N) / (-0.06 m ) = -32.7 N/m
k = 32.7 N/m